We look at the division of 260584 by 34 
We want to divide 260584 by 34.

Advancing to step 1:
When dividing 2 by 34, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 34

Step 2:
34 can be fit into 26 0 times, resulting in a remainder of 26.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 26, we end up with 26.
Grab the next digit (0) from the dividend, add it to 26, then carry on: 260 / 34

Moving on to step 3:
34 can be fit into 260 7 times, resulting in a remainder of 22.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtract 238 from 260 to get 22.
Append the next digit (5) from the dividend to 22 and continue with: 225 / 34

Advancing to step 4:
The number 34 fits into 225 6 times, leaving a remainder of 21.
Record the quotient 6 as the next digit in the result. 
Result so far: 76.0
The remainder is 21 after subtracting 204 from 225.
Append the next digit (8) from the dividend to 21 and continue with: 218 / 34

Advancing to step 5:
34 can be fit into 218 6 times, resulting in a remainder of 14.
The next digit of our result is 6. 
Result so far: 766.0
If we subtract 204 from 218, we get 14.
Fetch the next digit (4) from the dividend, attach it to 14 and continue: 144 / 34

Moving on to step 6:
34 goes into 144 4 times with a remainder of 8.
The next digit of our result is 4. 
Result so far: 7664.0
Subtract 136 from 144 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
34 can be fit into 80 2 times, resulting in a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 7664.2
Subtract 68 from 80 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
The number 34 fits into 120 3 times, leaving a remainder of 18.
Write down 3 as next digit of the result. 
Result so far: 7664.23
Subtract 102 from 120 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 9:
If we divide 180 by 34, we get 5 and a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 7664.235
Subtracting 170 from 180 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
34 goes into 100 2 times with a remainder of 32.
Put 2 as the next digit of the answer. 
Result so far: 7664.2352
The remainder is 32 after subtracting 68 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 11:
When dividing 320 by 34, we get 9 with a remainder of 14.
Write down 9 as next digit of the result. 
Result so far: 7664.23529
Subtract 306 from 320 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 12:
34 goes into 140 4 times with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 7664.235294
The remainder is 4 after subtracting 136 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 13:
40 divided by 34 is 1 with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 7664.2352941
The remainder is 6 after subtracting 34 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 14:
34 can be fit into 60 1 times, resulting in a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 7664.23529411
The remainder is 26 after subtracting 34 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The quotient of the division is 7664.23529411, and the remainder is 2.6e-08.